MODULE-I: Logical Reasoning
(This module has 40 questions, carrying a total of 40 marks. This module has NEGATIVE
MARKING. 0.25 marks will be deducted for every wrong answer)
1.
2.
3.
4.
5.
6.
Three bells begin tolling at the same time and continue to do so at intervals of 21, 28 and
30 seconds respectively. The bells will toll together after
(a) 3 sec
(b) 79 sec
(c) 420 sec
(d) 5880 sec
If 10th January of a leap year falls on the Saturday then 11th March of the same year falls
on
(a) Monday
(b) Wednesday
(c) Thursday
(d) Saturday
By what should 12348 be multiplied or divided in order to make it a perfect square?
(a) 6
(b) 7
(c) 16
(d) 8
The average weight of students in a class of 35 is 50 kg. If however, the weight of the
teacher be included, the average will be increased by 500 gm. Find the weight of the
teacher?
(a) 60 kg
(b) 68 kg
(c) 58 kg
(d) 78 kg.
If each alternate letter starting from A in the English alphabet is written in lower case and
the remaining in upper case, then, the third month after July will be represented bya. OctObER
b. ocToBer
c. SepTemBEr
d. oCtObEr
In a code ‘Ni Muk Puk’ means ‘Serious and worried’; ‘In Dik So’ means ‘Each any
other’ and ‘Tur Muk To’ means ‘Soul and body’ then in that code what are for ‘Each
Worried’a. In Ni
b. Pik Ni
c. Dik Pik
d. None of these
SPACE FOR ROUGH WORK
7.
8.
9.
10.
11.
If love is called sky, sky is called water, water is called tears, tears are called rain, and
rain is called man. Hence in absence of her lover, the sweetheart’s eyes are filled with?
a. Water
b. Sky
c. Tear
d. Rain
If LOFTY is coded as LPFUY, DWARF will be coded as
a. DXASF
b. DXBSG
c. DXATF
d. DWBSG
If PRICE is coded as SVNIL, COST will be coded as
a. FSXY
b. FSWY
c. FTWZ
d. FSXZ
In code QUEUE is written as Q22 and CHURCH as IURI then BANANA is written as a
suitable code from the followinga. B5A5
b. 5N5A
c. B55A
d. BA5A5A
Select one figure, which will continue the series.
(a)
(b)
(c)
(d)
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12.
How does the figure look like when folded into a cube along the marked lines?
(a)
(b)
(c)
(d)
Directions for Questions 13-15: Select a word/number from the given alternatives so that wordpairs/number- pairs at both sides of :: have the same relationship.
13.
Optimistic: Pessimistic:: Export: ?
a. Impossible
b. Tolerating
c. Import
d. Deport
14.
16: 25 :: 36: ?
a. 30
b. 35
c. 40
d. 49
15.
9: 125 :: 125:: ?
a. 344
b. 216
c. 343
d. 344
Directions for Questions 16-18: In the following questions, one of the numbers/word does not
belong to the series of numbers/words given in each question. Find the odd number/word out of
four alternatives given in each question.
16.
11, 4, 15, 8, 19, 12, 27
a. 11
b. 15
c. 19
d. 27
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17.
1, 1, 9, 27, 25, 64, 49, 343
a. 1
b. 343
c. 64
d. 49
18.
Line, Circle, Square, Ellipse, Cube
a. Cube
b. Circle
c. Ellipse
d. Square
Directions for Questions 19-20: Answer the following questions on the basis of the following
diagram.
Government servants
a
g
f
Doctors
b
c
d
Married members of a club
19.
20.
The portion f represents :
a. Male doctors who are government servants
b. Married government servants
c. Unmarried doctors
d. Unmarried doctors who are government servants.
Married doctors who are not government servants are represented by
a. b
b. c
c. d
d. a+b
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Directions for Questions 21-23: In each of the questions below are given two statements
followed by two conclusions (i) and (ii). You have to take the given statements to be true and
then decide which of the given conclusions logically follows from the two statements,
disregarding commonly known facts.
Give answer: a(if only (i) is right), b(If only (ii) is right), c(If either (i) or (ii) is right) or d(if
neither (i) nor (ii) is right, or both (i) and (ii) are right)
21.
22.
23.
24.
25.
Statements: All pens are birds. All cats are birds
Conclusions:
i. Some cats are pens
ii. Some birds are pens
a.
b.
c.
d.
Statements: All mangoes are parrots. No parrot is green
Conclusions:
i. No mango is green
ii. Some parrots are mangoes
a.
b.
c.
d.
Statements: Some oranges are crows. Some crows are apples.
Conclusions:
i. Some oranges are apple
ii. Some apples are crows.
a.
b.
c.
d.
How many ‘1’s are there in the following sequence of numbers that is followed
immediately by ‘2’ and ‘2’ is not immediately followed by ‘3'?
12134512352126145112412321752125
a. 3
b. 4
c. 5
d. 6
Complete the following letter series:
Z
V
R
N
a. L
b. K
c. J
d. H
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26.
27.
28.
29.
30.
What will be the next term in the given number series?
17, 27, 37, 56, …….
a. 49
b. 62
c. 57
d. 78
In the given number series, one term is wrong. Find out the wrong term.
3, 10, 19, 31, 43, 58, 75
a. 31
b. 43
c. 10
d. 31
Six persons are playing a card game. Bok is facing Kyrmen who is to the left of Alan and
to the right of Steve. Alan is to the left of Damanbha. Lambor is to the left of Steve. If
Damanbha exchanges his seat with Lambor and Steve with Kyrmen, who will be sitting
to the left of Damanbha?
a. Lambor
b. Kyrmen
c. Bok
d. Alan
Five girls are standing in a row facing East. Selena is to the left of Grace, Eva and
Theresa. Grace, Eva and Theresa are to the left of Kelly. Theresa is between Grace and
Eva. If Eva is fourth from the left, how far is Grace from the right?
a. First
b. Second
c. Fifth
d. Fourth
Daniel starts walking straight towards East. After walking 75 metres, he turns to the left
and walks 25 metres straight. Again he turns to the left and walks a distance of 40 metres
straight. Again he turns to the left and walks a distance of 25 metres. How far is he from
the starting point?
a. 140
b. 35
c. 50
d. 115
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31.
32.
33.
Ribha and Synshar started from a place X. Ribha went West and Synshar went North,
both traveling with the same speed. After sometime, both turned their left and walked a
few steps. If they again turned to their left, in which directions, the faces of Ribha and
Synshar will be with respect to X ?.
a. North and East
b. North and South
c. West and North
d. East and South
Two positions of a dice are shown below:
When 3 is at the bottom, what number will be at the top?
a. 5
b. 4
c. 1
d. 2
The needles in these clock problems may follow the usual clock rules. From the given
sequence identify the missing one from the options given below
(a) 1
(b) 2
(c) 3
(d) 4
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34.
A is the father of X, B is the mother of Y. The sister of X and Z is Y. Which of the
following is not true?
a. B is the wife of A
b. B has one daughter
c. Y is the son of A
35.
d. X is the sister of Z
A couple has a son and a daughter. The age of the father is three times that of his
daughter and the age of the son is half of his mother. The wife is nine years younger to
her husband and the brother is seven years older than his sister. Then what is the age of
the mother?
a. 40
b. 45
c. 50
36.
d. 60
Complete the given series with one of the figures given below .
(a) a
(b) b
(c) c
(d) d
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37.
Complete the given series with one of the figures given below.
38.
(a) a
(b) b
(c) c
(d) d
If a cube painted green on all sides is cut into 64 cubes of equal size, how many of these
smaller cubes are painted only on one side?
a. 4
b. 8
c. 16
39.
d. 24
What is a Blu-Ray Disc?
40.
Can you name few versions of Linux Operating Systems that are popular in the market?
SPACE FOR ROUGH WORK
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MODULE II: Numerical Aptitude
(Each question in this module carries 2 marks. Answer any TEN questions)
41.
Show that the point (-1, 1), (2, -2), (8, 4) are the vertices of a right angled triangle.
42.
Find dy/dx when y = (x + 1) / (x + 2)
43.
Form the quadratic equation whose roots are 4 and -7.
44.
Apply the binomial theorem to find the value of (101)3
45.
Determine the value of k, so that k2 + 2k + 1, 3k2 + 6k + 5, 4k2 + 5k + 3 are in A.P.
46.
Prove that the lines 2x + 3y = 2 and 6x – 4y + 7 = 0 are at right angles.
47.
Find : Lim
x
x 2 – 3x + 2
2
7x + 6
48.
Two independent events A1 and A2 are given such that P(A1) = 0.2 and P(A2) = 0.7.
Determine P(A1 U A2).
49.
Find the 10th term of the G.P. 1, 2, 4… … …
50.
In how many ways can six persons be arranged in a row so that two of them, John and
Nick should be on either end?
51.
The cost of one chair, 2 tables and 3 desks is Rs. 100. Also 3 chairs, 4 tables and 6 desks
cost Rs. 210. Find the cost of a chair.
52.
Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1,
3), (3, 3), (3, 2)}. Is R an equivalence relation? Justify.
53.
If P(A) = 0.5 and P(A
B) = 0.25, then find P(B A).
ANSWER MODULE II HERE
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ANSSWER MODULE II HERE
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ANSSWER MODULE II HERE
SPACE FOR ROUGH WORK
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ANSSWER MODULE II HERE
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MODULE III: Mathematics
(You can either answer Module III or Module IV. Each question in this module carries 5 marks).
Answer any EIGHT questions.
x dx
x2 + 3x + 2
54.
Evaluate:
55.
Show that f [ f { f (x) } ] = x, if f(x) =
1
,x
1
(1-x)
dy
, when x2 + y2 = log (xy)
dx
56.
Find
57.
A class consists of 10 boys and 8 girls. A committee of 3 students is constituted. What is
the probability that the committee has 1 boy and 2 girls.
Evaluate:
1 _ 1
ex
dx
x
x2
58.
59.
60.
61.
(
)
How many odd numbers of five distinct significant digits can be formed with the digits
0, 1, 2, 3, 4?
11
Find the coefficient of x4 in
1- 1
x
-1
-1
Prove that Lim (x+h) - x
-1
x 0
h
x2
( )
62.
A pair of dice is thrown. What is the probability of getting neither total of 7 nor 11.
63.
Shade the common region bounded by the parabolas y2 = 4x and x2 = 4y and find its
value by integration.
64.
A toy spherical balloon is being inflated so that its radius increases at the rate of 3.5
cm/sec. Find how fast the surface area is changing when the radius is 6 cm.
65.
How many diagonals are there in an octagon?
MODULE IV: Computer Science
(You can either answer Module III or Module IV.
Answer ANY FIVE questions from this module. Each question carries Eight marks.)
(The functions / programs may be written in Pascal, C, C++ or Java)
66.
67.
68.
69.
70.
71.
Write a program that accepts an integer “m” and returns the sum of all factors of “m”. For
example, if “m” is 28 then the output will return 1 + 2 + 4 + 7 + 14 + 28 = 56.
Write a program that accepts an integer “m” and returns as output an integer value whose
digits are one more than the corresponding digit in the input number. For example, if the
number is 36951, the output should be 48062.
Write a program that will accept an array of integers and returns the smallest element in
the array with its position after sorting the array.
Write a program that accepts a matrix of “m” rows and “n” columns. It returns the row
number with the largest sum of the row elements. For example, if the matrix is as shown
below, then the output should return 3 (i.e., the row having elements 6, 5, 7, 8).
0
2
3
9
1
1
3
5
6
5
7
8
0
2
4
2
Write a program that will take in a given string (not exceeding 80 characters) and print out
all the rotations of the input string. For example, the rotations of the word best are
best
estb stbe tbes
Write an algorithm to split a simple linked list of integers into two lists so that the first list
contains all even numbered elements and the second list contains all odd numbered
elements. For example, if the original list is {2, 8, 1, 14, 6, 18, 0, 17} then the resultant first
list would be {8, 14, 18, 17} and the second list would be {2, 1, 6, 0}.
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72.
73.
A Pascal’s triangle with 5 rows is shown below:
1
1
2
1
1
2
3
2
1
1
2
3
4
3
2
1
1
2
3
4
5
4
3
2
1
Write a function to display the Pascal’s triangle up to ‘n’ number of rows, the value of ‘n’
being send as an argument to the function.
Write a program to store the following information of customers in a bank :
Account Number, Name, Balance in account.
Assume maximum of 200 customers in the bank. Include facilities to display the Account
Number and Name of each customer whose balance is below Rs. 500.
ANSWER MODULE III OR MODULE IV HERE
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ANSWER MODULE III OR MODULE IV HERE
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ANSWER MODULE III OR MODULE IV HERE
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ANSWER MODULE III OR MODULE IV HERE
SPACE FOR ROUGH WORK
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ANSWER MODULE III OR MODULE IV HERE
SPACE FOR ROUGH WORK
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